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math.OC2025★ 1 cited
Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem. IV. The General Unimodular Two-Dimensional Case
Robert Hildebrand, Matthias Köppe, Luze Xu
We study an abstract setting for cutting planes for integer programming called the infinite group problem. In this abstraction, cutting planes are computed via cut generating funct…
math.OC2006★ 1 cited
Integer Minkowski Programs and the Design of Survivable Networks
Elke Eisenschmidt, Matthias Köppe, Alexandre Laugier
We introduce a new class of optimization problems called integer Minkowski programs. The formulation of such problems involves finitely many integer variables and nonlinear constra…